Question

The surface area of a cube is 216 m^2. What is the length of each edge? step by step​

Answer 1

Answer:

The length, height, and width of the cube is 6 cm.

Explanation:

Surface area is defined as all the area on the outside of an object, like the cube in this case. Since a cube has 6 faces, we know that for the first part of our equation, we have a 6. The 6 will be multiplying the area of the faces, so now we just need to find the formula for the area. Since the length and widths are equal, we can say that area is

x.x or x². When we combine that with the 6, we get an equation of 6x².

Now we just need to set up the equation. We say that

216=6x²

and we start off by dividing by 6 on both sides. That yields an answer of 36=x².

Our final step is to square root both sides to get an answer of 6=x.

Since x was our width/length, we can say that all the